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Finding the Fourth Proportional to 310,813.78, 428,922.40 and 174,847.84

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Solution

The fourth proportional to 310,813.78, 428,922.40 and 174,847.84 is: 241,289.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,813.78 : 428,922.40 = 174,847.84 : x
  2. Step 2: Convert to fraction form
    310,813.78/428,922.40 = 174,847.84/x
  3. Step 3: Cross multiply
    310,813.78x = 428,922.40 × 174,847.84
  4. Step 4: Simplify right side
    310,813.78x = 74,996,155,167.62
  5. Step 5: Solve for x
    x = 74,996,155,167.62/310,813.78
  6. Step 6: Final answer
    x = 241,289.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.